\[\boxed{\text{81.\ }\text{ОК\ ГДЗ\ -\ домашка\ на\ 5}}\]
\[\textbf{а)} - 5\sqrt{6} = - \sqrt{150};\ \ \ \]
\[- \sqrt{169} < - \sqrt{150} < - \sqrt{144}\]
\[- 13 < - \sqrt{150} < - 12.\]
\[\sqrt{81} < \sqrt{83} < \sqrt{100}\]
\[Числа:\ \ от\ ( - 12)\ до\ 9;22\ числа.\]
\[Ответ:22\ числа.\]
\[\textbf{б)}\ 3\sqrt{3} = \sqrt{27};\]
\[\sqrt{36} > \sqrt{27}\]
\[6 > \sqrt{27}.\]
\[4\sqrt{11} = \sqrt{176};\]
\[\sqrt{169} < \sqrt{176}\]
\[{13 < \sqrt{176}. }{Числа:от\ 6\ до\ 13;8\ чисел.}\]
\[Ответ:8\ чисел.\]
\[\textbf{в)} - 5\sqrt{6} = - \sqrt{150};\]
\[- 12 > - \sqrt{150}.\]
\[\frac{1}{2}\sqrt{68} = \sqrt{17};\]
\[\sqrt{16} < \sqrt{17};\]
\[4 < \sqrt{17}.\]
\[Числа:от\ ( - 12)\ до\ 4;17\ чисел.\]
\[Ответ:17\ чисел.\]
\[\textbf{г)}\ - \frac{2}{3}\sqrt{54} = - \sqrt{54 \cdot \frac{4}{9}} = - \sqrt{24};\]
\[- \sqrt{16} > - \sqrt{24};\]
\[- 4 > - \sqrt{24}.\]
\[\frac{6}{7}\sqrt{147} = \sqrt{147 \cdot \frac{36}{49}} = \sqrt{108}\]
\[\sqrt{100} < \sqrt{108};\]
\[10 < \sqrt{108}.\]
\[Числа:от\ ( - 4)\ до\ 10;\]
\[всего\ 15\ чисел.\]
\[Ответ:15\ чисел.\]